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Learning Outcomes


     Find the perimeter of 2-D composite shape of
     two or more quadrilaterals and triangles.




2.           Find the area of a 2-D composite
     shape of two or more quadrilaterals and
     triangles.




3.          Solve problems in real context
     involving calculation of perimeter and area
     of 2-D shapes
Revision for 2 Dimensional Shapes


                             A perimeter is the total
                            length of the outer sides
                                   of a shape




                                        Area is the size
                                        of a flat surface




                                  8 cm × 3 cm = 24cm²



    Formula      : Area = length x breadth
    Unit of area : square centimetre (cm²) and square metre ( m²)




                        Area of triangle : Base × Height

4 cm height                                    2



          base
          3 cm
Find the perimeter of 2-D composite shape of two or more
quadrilaterals and triangles.
    Example 1 :



                                                           8 cm
                         10 cm



                                                        6 cm

                                             Diagram 1
                        Find the perimeter, in cm, of the above diagram.




       Recognize all the                                       10
       given lengths of
         certain sides
                                                                              8 cm
                                          10 cm
                                         Step 1 :


                                                                           6 cm
                                                               10




                                                                    Total all the
     Step 2 :
                                                                     distance
                10 + 10 + 10 + 8 + 6 =
                                                                    around the
                                                                     diagram


                      = 44 cm



                                  REMEMBER …..
                           A perimeter is the total length of the
                                 outer sides of the shape
Find the area of a 2-D composite shape of two or more
quadrilaterals and triangles.

     Example 1

                                                                8 cm
                                 10 cm




                                                             6 cm
                                              Diagram 3
                         Diagram 3 shows a square and rectangle. Find the
                         area, in cm², of the whole diagram.



     Recognize the length
     and dimension of the
         given shape                                                        Height


                                                                                  8 cm
                                                 10 cm        A
                                          Step 1 :                          B
                                            Breadth

                                                             Length         6 cm
                                                                            Base




                                                                Square =
   Step 2 :                                                  Length × Breadth
   A = 10 × 10 = 100 cm².                                       Triangle =
                                                              Base × Height
   B = 6 × 10 ÷ 2 = 30 cm².                                         2



                                                     Step 3 :
                                                           Area of the diagram

                                                     =A+B
                                                     = 100 cm² + 30 cm²
              Total up

                                                               = 130 cm².
  Example 1
                                                      8 cm


                                                 Diagram 3
                            Diagram 3 shows a two equal triangles and a square.
                            Find the perimeter, in cm of the whole diagram.
10 cm




                                                              6 cm




                               Step 1 :
Understanding
 the problem
                                   •      To find the perimeter of the
                                          diagram.
                                   •      Given the lengths of certain sides



                                                         Devise a plan
Step 2 :
                                                        using formula
   • Label the whole diagram
                                                        for calculating
Perimeter = total distance
                                                          perimeter
outside edge around the
diagram



      Carry out                        Step 3 :
       the plan
                                       Perimeter = (10 + 8 + 10 + 6 + 8 + 6) cm



                                                       = 48 cm.


                                                             Checking the
Step 4 :                                                       solution
  Make sure the calculation is correct.
 Add only all the outside edges of the
               diagram.
Example 2

                                     6 cm



                                                                4 cm




                        The diagram shows a two equal square and a right angled
                        triangle. Find the area, in cm², of the whole diagram.




                                      Step 1 :
    Understanding
     the problem
                                      To find the area of the diagram.
                                      The side of the square = 4 cm
                                      The based of the triangle = 8 cm



                                                                   Devise a plan
    Step 2 :
                                                                  using formula
                                                                  for calculating
    Area of square = length × breadth
                                                                       area
    Area of triangle = base × height
                            2

                                            Step 3 :
            Carry out                       Area of square = (4 × 4) × 2 = 32 cm²
             the plan                       Area of triangle = 8 × 6 ÷ 2 = 24 cm²
                                            Total area = 32 cm² + 24 cm²



                                                          = 56 cm²


                                                                   Checking the
    Step 4 :                                                         solution

    Make sure the calculation is correct.

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2 d shapes

  • 1. Learning Outcomes Find the perimeter of 2-D composite shape of two or more quadrilaterals and triangles. 2. Find the area of a 2-D composite shape of two or more quadrilaterals and triangles. 3. Solve problems in real context involving calculation of perimeter and area of 2-D shapes
  • 2. Revision for 2 Dimensional Shapes A perimeter is the total length of the outer sides of a shape Area is the size of a flat surface 8 cm × 3 cm = 24cm² Formula : Area = length x breadth Unit of area : square centimetre (cm²) and square metre ( m²) Area of triangle : Base × Height 4 cm height 2 base 3 cm
  • 3. Find the perimeter of 2-D composite shape of two or more quadrilaterals and triangles. Example 1 : 8 cm 10 cm 6 cm Diagram 1 Find the perimeter, in cm, of the above diagram. Recognize all the 10 given lengths of certain sides 8 cm 10 cm Step 1 : 6 cm 10 Total all the Step 2 : distance 10 + 10 + 10 + 8 + 6 = around the diagram = 44 cm REMEMBER ….. A perimeter is the total length of the outer sides of the shape
  • 4. Find the area of a 2-D composite shape of two or more quadrilaterals and triangles. Example 1 8 cm 10 cm 6 cm Diagram 3 Diagram 3 shows a square and rectangle. Find the area, in cm², of the whole diagram. Recognize the length and dimension of the given shape Height 8 cm 10 cm A Step 1 : B Breadth Length 6 cm Base Square = Step 2 : Length × Breadth A = 10 × 10 = 100 cm². Triangle = Base × Height B = 6 × 10 ÷ 2 = 30 cm². 2 Step 3 : Area of the diagram =A+B = 100 cm² + 30 cm² Total up = 130 cm². Example 1 8 cm Diagram 3 Diagram 3 shows a two equal triangles and a square. Find the perimeter, in cm of the whole diagram.
  • 5. 10 cm 6 cm Step 1 : Understanding the problem • To find the perimeter of the diagram. • Given the lengths of certain sides Devise a plan Step 2 : using formula • Label the whole diagram for calculating Perimeter = total distance perimeter outside edge around the diagram Carry out Step 3 : the plan Perimeter = (10 + 8 + 10 + 6 + 8 + 6) cm = 48 cm. Checking the Step 4 : solution Make sure the calculation is correct. Add only all the outside edges of the diagram.
  • 6. Example 2 6 cm 4 cm The diagram shows a two equal square and a right angled triangle. Find the area, in cm², of the whole diagram. Step 1 : Understanding the problem To find the area of the diagram. The side of the square = 4 cm The based of the triangle = 8 cm Devise a plan Step 2 : using formula for calculating Area of square = length × breadth area Area of triangle = base × height 2 Step 3 : Carry out Area of square = (4 × 4) × 2 = 32 cm² the plan Area of triangle = 8 × 6 ÷ 2 = 24 cm² Total area = 32 cm² + 24 cm² = 56 cm² Checking the Step 4 : solution Make sure the calculation is correct.